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Atlas › Integer Profiles › Node 4,603,746

4,603,746

2 × 3 × 73 × 2237
Abundant Even Composite

4,603,746 factors as 2 × 3 × 7^3 × 2237. Its 32 positive divisors give a proper-divisor sum of 6,138,654, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 2237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,742,400
Proper Divisor Sum 6,138,654
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4603741 ← → #4603747

Radix Representation

Decimal 4603746
Binary 10001100011111101100010 (23 bits)
Octal 0o21437542
Hexadecimal 0x463F62

Divisor Catalog (32)

1 2 3 6 7 14 21 42 49 98 147 294 343 686 1,029 2,058 2,237 4,474 6,711 13,422 15,659 31,318 46,977 93,954 109,613 219,226 328,839 657,678 767,291 1,534,582 2,301,873 4,603,746

Collatz Trajectory (149 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,603,746 2,301,873 6,905,620 3,452,810 1,726,405 5,179,216 2,589,608 1,294,804 647,402 323,701 971,104 485,552 242,776 121,388 60,694 30,347 91,042 45,521 136,564 68,282 34,141 102,424 51,212 25,606 12,803 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137

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